Problem $3$: Deflection for beams

$(25$ points$)$

With the problem shown below, the whole length of the beam is $30ft.AB=BC=15ft.$ There is a concentrated moment $60$kips$*ft$ at point $C.$

$($a$)$ Calculate the support reactions at poin A and C$.(5$ pts$)$

$($b$)$ Compute the deflection at $B($midpoint$).(20$ pts$)($keep EI as a constant in the answer$)$

$($You can use one of the following methods: the double integration method, moment area method, or principle of virtual work method for this problem$)$